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  1. The triangle law of vector addition is a law that is used in vector algebra to determine the resultant sum vector when two or more vectors are added. Suppose we have a car that is moving from point A to B as shown in the figure below. Once it reaches point B, it starts moving again till point C.

  2. Triangle Law for finding the resultant of two vectors: If 2 vectors are drawn head to tail, the vector from the tail of the first to the head of the second is the resultant. Parallelogram Law for finding the resultant of two vectors: If 2 vectors, drawn tail to tail, are the adjacent sides ab and ad of a parallelogram abcd, the

  3. A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.

  4. Three numbers are needed to represent the magnitude and direction of a vector quantity in a three dimensional space. These quantities are called vector quantities. Vector quantities also satisfy two distinct operations, vector addition and multiplication of a vector by a scalar.

  5. A vector V in the plane or in space is an arrow: it is determined by its length, denoted V and its direction. Two arrows represent the same vector if they have the same length and are parallel (see figure 13.1). We use vectors to represent entities which are described by magnitude and direction.

  6. Statement of Triangle Law. If 2 vectors acting simultaneously on a body are represented both in magnitude and direction by 2 sides of a triangle taken in an order then the resultant (both magnitude and direction) of these vectors is given by 3 rd side of that triangle taken in opposite order.

  7. This chapter provides background information on vectors and introduces the research problem. It discusses how vectors involve both magnitude and direction and are important in various fields. It notes that students often struggle with vector resolution, especially using the triangle rule.

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